Pith Number

pith:4ATRLLEA

pith:2012:4ATRLLEA3UPKRSDW66NZPY66TA

not attested not anchored not stored refs pending

An Upper Bound for Hessian Matrices of Positive Solutions of Heat Equations

Qing Han, Qi S Zhang

arxiv:1212.2723 v1 · 2012-12-12 · math.AP · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ATRLLEA3UPKRSDW66NZPY66TA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:38:35.587307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e02715ac80dd1ea8c876f79b97e3de9814d5f53137dd0a3754e9900a21d0f3b1

Aliases

arxiv: 1212.2723 · arxiv_version: 1212.2723v1 · doi: 10.48550/arxiv.1212.2723 · pith_short_12: 4ATRLLEA3UPK · pith_short_16: 4ATRLLEA3UPKRSDW · pith_short_8: 4ATRLLEA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4ATRLLEA3UPKRSDW66NZPY66TA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e02715ac80dd1ea8c876f79b97e3de9814d5f53137dd0a3754e9900a21d0f3b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0b84002a1f0e469eaf1fe0cde3cbe34a50f0e57d07a463116d011025e92f2ab",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-12T07:58:26Z",
    "title_canon_sha256": "f5b2370532f487ce1cc2f5b814248f5c87a5a994df1fccc80fd1106fa161a926"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2723",
    "kind": "arxiv",
    "version": 1
  }
}